LCM of 305, 270, 732, 966, 412
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 305, 270, 732, 966, 412 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 305, 270, 732, 966, 412. So, keep reading to learn more.
Given numbers are 305,270,732,966,412
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 305,270,732,966,412 is 546244020.
Find LCM of 305,270,732,966,412 with Prime Factorization
| 2 | 305, 270, 732, 966, 412 |
| 2 | 305, 135, 366, 483, 206 |
| 3 | 305, 135, 183, 483, 103 |
| 5 | 305, 45, 61, 161, 103 |
| 61 | 61, 9, 61, 161, 103 |
| 1, 9, 1, 161, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 61 x 1 x 9 x 1 x 161 x 103 = 546244020
Therefore, the lowest common multiple of 305,270,732,966,412 is 546244020.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
305 x 270 x 732 x 966 x 412 = 23991037358400
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
305 : 1, 5, 61, 305
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
412 : 1, 2, 4, 103, 206, 412
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,270,732,966,412, is 1.
Now, the common factors can be found like this.
305:5x 61
270:2x 3x 3x 3x 5
732:2x 2x 3x 61
966:2x 3x 7x 23
412:2x 2x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 3x 3x 5x 61 = 43920
Therefore, the value for common factors is 43920.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 23991037358400/(1x43920)
LCM = 23991037358400/43920
LCM = 546244020
Thus, we can understand that the LCM of 305,270,732,966,412 is 546244020.
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FAQs on LCM of 305, 270, 732, 966, 412
1. What is the LCM of 305, 270, 732, 966, 412?
Answer: LCM of 305, 270, 732, 966, 412 is 546244020.
2. How to calculate the LCM of 305, 270, 732, 966, 412?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 305, 270, 732, 966, 412.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.